diff --git a/lecture5.html b/lecture5.html
index 8583598..d0188c4 100644
--- a/lecture5.html
+++ b/lecture5.html
@@ -9,7 +9,7 @@
-
+
diff --git a/lecture6.html b/lecture6.html
index 2a2bb59..4bb79c0 100644
--- a/lecture6.html
+++ b/lecture6.html
@@ -10,7 +10,7 @@
-
+
diff --git a/lecture7.html b/lecture7.html
index 14798c1..ba91114 100644
--- a/lecture7.html
+++ b/lecture7.html
@@ -9,7 +9,7 @@
-
+